Question

In a soda company the bottles are filled exactly 90± 15 ml. The bottles outside this bound are considered as defective and the bottles weight are normally distributed. The manufacturing engineer claims the products meets this requirements at least 99%. If the population mean is 90 and standard deviation is 10, what portion of the bottles is defective? If the manufacturing targets are not meet, what would you do to meet the required accuracy?

          In a soda company the bottles are filled exactly 90± 15 ml. The bottles outside this
bound are considered as defective and the bottles weight are normally distributed.
The manufacturing engineer claims the products meets this requirements at least
99%. If the population mean is 90 and standard deviation is 10, what portion of the
bottles is defective?
If the manufacturing targets are not meet, what would you do to meet the required
accuracy?

In a soda company the bottles are filled exactly 90± 15 ml. The bottles outside this
bound are considered as defective and the bottles weight are normally distributed.
The manufacturing engineer claims the products meets this requirements at least
99%. If the population mean is 90 and standard deviation is 10, what portion of the
bottles is defective?
If the manufacturing targets are not meet, what would you do to meet the required
accuracy?

Added by Paul P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jason Gerber

Step 1

The upper bound is 90 + 15 = 105 ml. The z-score formula is: z = (x - μ) / σ where x is the value, μ is the mean, and σ is the standard deviation. In this case, x = 105, μ = 90, and σ = 10. So, z = (105 - 90) / 10 = 1.5 Step 2: Find the proportion of bottles Show more…

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In a soda company, the bottles are filled exactly 90 + 15 ml. The bottles outside this bound are considered as defective, and the bottles' weight is normally distributed. The manufacturing engineer claims that the products meet this requirement at least 99%. If the population mean is 90 and the standard deviation is 10, what portion of the bottles is defective? If the manufacturing targets are not met, what would you do to meet the required accuracy?